The impact of higher education on high quality economic development in China: A digital perspective

In the context of China’s new stage of economic development, this study examines the role of higher education in China’s high quality economic development (HQED) strategy from a digital perspective. Using panel data of 30 Chinese provinces (municipalities and autonomous regions) collected from 2012–2020, comprehensive evaluations of the level of higher education and HQED are conducted through the entropy method, and a regression analysis is carried out with the fixed effect model. The results show that the level of higher education is positively associated with HQED and is able to achieve this effect through mechanisms that actively promote digital innovation and development. Further, the structure and quality of higher education plays a greater part in facilitating digital development than the scale and quantity. The heterogeneity analysis demonstrates that the impact of higher education on HQED is more significant in the eastern region of China than in the western region. An increase in the proportion of fiscal expenditure to GDP diminishes the impact of higher education on HQED, while an improvement in digital governance level enhances its influence.


Introduction
The impact of higher education on economic development has become a topic of increasing interest in both academic and policy circles [1]. The variation in educational participation contributes to differences in economic performance among countries [2]. According to China Education Daily, China's gross enrolment rate in higher education increased from 30% in 2012 to 57.8% in 2021-an increase of 27.8 percentage points-achieving a historic leap forward in building the world's largest higher education system. Meanwhile, China's economy has achieved rapid, but consistent, growth since it commenced its policy of economic reform and opening-up in the late 1970s. The popularization of higher education enhances its crucial role in facilitating economic growth [3].
In recent years, China is focused on shifting from prioritizing high-speed growth to a stage of high-quality development. This approach, put forward for the first time in 2017, is designed to better stimulate the endogenous dynamics of China's economic development. Consequently, it becomes crucial to examine the impact of China's higher education system on high-quality economic development (HQED) in light of the new environment and dynamics. Some researchers have conducted investigations into higher education in the context of high-quality personnel training as crucial support for socioeconomic development. Schultz's [4] theory of human capital documented, for instance, is generally accepted as the seminal foundation upon which this subject has been explored. Human capital is an important factor in economic growth, and education plays a much greater role in human capital than social training, health care [5], or other prevalent social systems. The effect of human capital promotion, which arises from educational expansion [6], graded education [7], and supply-side structural education reform [8], on economic development is significantly positive [9,10]. More universities in a region lead to stronger economic growth, as research quality and academic specialization become the main drivers of universities' positive impact on regional economic development [11].
Numerous models and methods have been applied to study the relationship between higher education and economic development. Granger methods, panel data models, and two-stage regression on a modified Cobb-Douglas production function are among the techniques used to test the causal relationship between higher education and economic growth [12][13][14]. Macroeconomic regression studies also support the positive impact of higher education on regional economic development and social cohesion [15]. However, the existing quantitative research on the relationship between higher education and economic development is relatively insufficient, necessitating a more comprehensive and multidimensional assessment of them.
The literature does present divergent views, suggesting that, while education is important for economic development, it is not a sufficient condition. Limited higher education supply can promote economic growth by increasing overall savings, but when this growth-promoting effect becomes strong enough, it leads to a shortage of investable capital, thereby reducing economic growth [16]. There are significant variations in the interplay between the characteristics of higher education and economic performance across different levels of economic development [17]. To formulate effective policies, there is a need for a comprehensive understanding of the relationship between higher education and the economy [18], particularly during the new phase of HQED.
A number of studies have explored the mechanisms by which higher education impacts economic development. Education cannot only generate the accumulation of human capital, but can also promote technological progress, which is the key to stimulating economic growth [19]. Similarly, higher education can also facilitate economic development by enhancing innovation capacity, optimizing industrial structure, and promoting new urbanization [20][21][22][23].
With the rapid advancement of information technology, digitalization has become crucial for modern economic development. Integrated digital infrastructure and technologies drive industrial transformation [24,25], digital finance enhances ecological governance, and the digital economy fosters increased tax revenue [26] and promotes shared prosperity [27]. These factors play a vital role in ensuring HQED in the digital era. Nonetheless, there is limited research that addresses the mechanism through which higher education can influence HQED by digital advancements.
This study seeks to examine the impact of higher education on HQED in China from the digital perspective, using the entropy evaluation method and fixed effects model with panel data collected from 2012-2020. As further robustness checks, two alternative methods, principal component analysis and standardization, are utilized to evaluate the level of higher education and HQED. Heterogeneity analysis was conducted based on the regional perspective, temporal dimension, fiscal expenditure level, and digital governance level. The impact of higher education on HQED was assessed from the relatively new perspective of digital development. This provides new insights into the mechanism of higher education's influence on economic development, and will provide an important reference for the formulation and implementation of education policies to advance economic development.

Background: China's new development philosophy
Based on previous experience gained and lessons learned both at home and abroad, alongside analysis of the current trend of global development, China has forged a new development philosophy of pursuing innovative, coordinated, green and open development, and having its fruits shared by everyone. This is intended to target problems that have been present in China's development model since 2012. It is focused on shifting from a period of high-speed growth to a high quality development. Since this concept with Chinese characteristics was put forward for the first time in 2017, researchers in China have begun to turn to the study of high quality development, mainly discussing its cultural connotations [28,29] and contributing factors [30]. Some have also focused on the relationship between environment [31], technological innovation [32], and HQED. This study seeks to discover what impact higher education will have on HQED in this new phase.

Theoretical framework
In the increasingly complex global economic landscape, human capital is one of the main pillars driving high-quality and sustainable economic growth [33]. As the core of human capital, higher education bears primary responsibility for advanced talent training and development of scientific research capabilities and is a cardinal tool for sustainable economic growth and development [34]. Some studies have shown that education affects economic growth both directly and indirectly by driving industrial upgrading, regulating income distribution, promoting consumption [35] and technological innovation [20,21]. Hence, the first hypothesis is proposed as follows: Hypothesis 1. Higher education has a positive impact on HQED.
Higher education provides specialized training through the construction of digital-related disciplines, which, in turn, provide enterprises with digitally competent employees and contractors, who become a key support for the development of digital industries. In the course of governing and serving society, the dissemination of digitized knowledge and information through higher education becomes the basis for a vibrant digital economy. The transformative digital technological achievements of higher education enable new companies to develop and digital production to function soundly, implying that it is undoubtedly one of the key drivers of digital development. The digitization of education, exemplified by the use of shared digital learning space [36] and virtual classrooms [37], is also an important part of digital development. Based on these vital contributions, it is logical that higher education should have a positive impact on digital development. In this process, we must not disregard the "quantity" and "quality" of education. From a quantitative perspective, the scale of higher education institutions and the number of students will affect the stock of human capital, which, in turn, shapes the capacity for knowledge innovation and increases the potential for digital technological progress. As digital technology continues to develop, how does it affect the relationship between higher education and economic development? Fig 1 illustrates the theoretical framework employed in this paper.
Meanwhile, the differences in the structure and quality of higher education, such as the composition of postgraduate and undergraduate levels, the proportion of teachers with senior titles, and the capacity for R&D, are key factors that influence the level of human capital available. These resources form the basis for technological transformation and upgrading, which can contribute to the rapid development of digital industries.
Some studies have focused on the contribution of information and communications technologies (ICT) and digital development to economic growth and productivity [38,39]. From a dynamic long-term perspective, digital-related industries will have a positive impact on the economy. Artificial intelligence (AI), for example, will lead to an increase in the economic productivity of the e-commerce industry [40] and new digital infrastructure can drive high quality regional economic development [41]. The digital economy has indeed positively promoted China's green total factor productivity [42] through industrial restructuring and green technology innovation. It also drives high quality urban development by improving the efficiency of physical capital allocation [36]. This suggests that we can expect a mechanism whereby higher education contributes to the quality of the overall economy by promoting digital development. Thus, the second and third hypotheses are as follows:

Hypothesis 2.
Higher education stimulates the level of high-quality economic activity through digital development.

Hypothesis 3.
Both the "scale and quantity" and the "structure and quality" of higher education contribute to digital development.

Construction of evaluation index system
In this paper, educational scale and quantity along with structure and quality are considered to represent the level of higher education development with nine indexes selected (Table 1). Based on the available literature, with full consideration of China's actual development, a comprehensive index system for assessing the level of HQED from the perspective of China's new development philosophy is established [43]. HQED is measured by five criteria from the new development philosophy, which are innovation, coordination, green, openness, and sharing, including 20 indexes. The criteria for assessing the digital development level were digital infrastructure, industry digitalization, digital industrialization, and digital technology innovation.
The index system is shown in Table 1.

Data source
Statistical data from 2012 to 2020 required for this study were primarily obtained from the China Statistical Yearbook, the China Statistical Yearbook on Science and Technology, the Educational Statistics Yearbook of China, the China Energy Statistical Yearbook, China

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The impact of higher education on high quality economic development . Some missing data, which are less than 1%, are supplemented by linear interpolation. Data entry and some calculations, such as the energy consumption per unit of output, the intensity of energy conservation and environmental protection (energy Table 1. Indicator of higher education, HQED and digital development.

Higher education
Scale and quantity

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The impact of higher education on high quality economic development in China: A digital perspective conservation and environmental protection expenditure/fiscal expenditure), and the level of financial development (financial industry value added/GDP), were executed in Excel 2010. Descriptive statistical analysis was conducted using SPSSAU. The Tibet, Hong Kong, Macao, and Taiwan regions were excluded from this analysis for statistical reasons.

Variable evaluation and description statistics
To evaluate the level of HQED, the original data were first standardized to eliminate the dimensional differences according to the positive and negative directions. Based on the above construction of the evaluation index system, a composite index was calculated using the entropy evaluation method, in which the evaluation result is free from the influence of human subjectivity. This approach is also applied in this study when measuring the level of higher education and digital development.
The economic development level calculated accordingly is shown in Fig 2. In 2012, only two provinces (Beijing and Guangdong) had a HQED composite score of 0.3 or above. However, in 2020, the number had increased to seven provinces. Additionally, in 2012, three provinces' composite scores were lower than 0.1, while in 2020, the lowest level had been raised to 0.13 (Ningxia).

Econometric model
The following econometric model was used to estimate the impact of higher education on HQED: The dependent variable, HQED it , is an indicator of the economic development quality level of region i in year t. The key independent variable, EDU it , is an indicator of the degree of higher education in region i in year t. λ i denotes the region fixed effect, while η t represents the time fixed effect, and μ it is a disturbance term. The degrees of marketization and

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The impact of higher education on high quality economic development in China: A digital perspective industrialization and the level of financial development, which are characterized as the proportion of state-owned and collective components in the total social fixed asset investment portfolio, the natural logarithm of the number of industrial enterprises above designated size, and financial industry value added to GDP ratio respectively, serve as control variable, X it .
In addition, to test the role of digital development, the model was constructed as follows: The level of digital development is described by DIG it . The other variables included are identical to those in Eq (1).

Results
Multicollinearity analyses revealed that variance inflation factors were smaller than 4 for all predictor variables (1.358-3.410), confirming that regression models were not affected by the presence of multicollinearity. The choice of a fixed effects specification was supported by the Hausman test. Table 3 illustrates the impact of higher education on HQED. The effects presented in Column 1 suggest that a 1-unit increase in the level of higher education corresponds to an increase in HQED of 0.418 points. After including control variables, the estimate result drops to 0.415 in Column 2 and remains statistically significant.

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The impact of higher education on high quality economic development in China: A digital perspective On this basis, an alternative method was used to measure the independent and dependent variables; the results remained robust. Columns 3 and 4 in Table 3 report the estimates using principal component analysis (PCA) to calculate the corresponding levels of higher education and HQED. The estimates show that a 1-unit increase in the level of higher education corresponds to an increase of 0.203 and 0.190 points without and with control variables, respectively. Although the estimated regression coefficients in Columns 3 and 4 are much lower compared to Columns 1 and 2, they are still statistically significant. These findings suggest that higher education is significantly associated with HQED.
Another robustness test was also performed using the standardized method. After calculating the level of higher education and HQED using the entropy evaluation method, the consequences were standardized using Eq (3).
; s ¼ ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi The regression results are reported in Table 3, Columns 5 and 6. The estimates show that a one standard deviation increase in the level of higher education is associated with a 0.755 standard deviation increase in HQED in Column 5. With control variables, the same change leads to an increase of 0.748 standard deviations in HQED in Column 6. This reveals that the regression results are still significant after the values have been standardized, further confirming the previous finding that higher education has a significant impact on the quality of economic development.

Mechanisms: Digital development
The above analysis has proved robustly that China's higher education level significantly promotes HQED. I will now continue to discuss the mechanism.
Higher education is enabling digital development. This channel is verified through Eq (2). The regression results reported in Columns 1 and 2 of

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The impact of higher education on high quality economic development in China: A digital perspective which demonstrates that improving the level of higher education can facilitate advancement of digital development. Columns 3-4 and 5-6 in Table 4 report the results of regressions using PCA to calculate the level of higher education and HQED, and regressions using standardized consequences through Eq (3), respectively. These results further validate the significant impact of higher education on digital development. Digitalization also drives HQED. As outlined in the theoretical framework section of this paper, previous studies have confirmed that digital-related industries such as new digital infrastructure, ICT, and AI can drive HQED [38][39][40][41][42]44]. The above mechanisms demonstrate that the level of higher education significantly contributes to digital progression, and thus to HQED.
What impact will different aspects of higher education have on digital development? According to the evaluation index system presented in this study, the contribution of higher education to digital development will be measured in terms of scale and quantity, as well as structure and quality. Column 1 in Table 5 reports that a 1 standard deviation increase in higher education correspondents to a 1.149 standard deviation increase in the level of digital development. This compares with an increase of 1.157 when control variables are included, as shown in Column 2, Table 5. The results in Columns 3-4 suggest that structure and quality in higher education also have a significantly positive impact on digital development (1.206, 1.228); obviously, the impact of scale and quantity of higher education is slightly smaller by comparison.

Heterogeneity analysis
4.4.1 Regional heterogeneity analysis. The economy is evolving, but not equally across different regions. According to information obtained from the National Bureau of Statistics, China's economic zones are divided into the Eastern, Central, Western, and Northeastern regions to reflect different regional economic development dynamics. Therefore, regional heterogeneity can be better reflected by defining variables at the Four Regional levels. Higher education development and HQED were measured at the four regional levels to reexamine the relationship between the two. Using the western region as the reference group, the results, reported in Table 6, indicate that, although the degree of influence decreased, the Eastern Region's higher education level had a greater impact on HQED than that of the western region.

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The impact of higher education on high quality economic development in China: A digital perspective This may be because the eastern region is rich in education resources and can thus provide higher-end talent support.

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The impact of higher education on high quality economic development in China: A digital perspective  Table 7. The regression results demonstrate significant results between 2012 and 2015 with or without the inclusion of control variables. The development of higher education from 2016 and 2020 is shown to have had significant positive impacts on HQED. It is not apparent from the results whether the promotion of higher education and the support of digital-related policies exerted a superimposed and multiplier effect on the digital economy, thus contributing to the high-quality development of the economy. It needs to be examined over a longer period of time.

Heterogeneity analysis based on fiscal expenditure level.
Restructuring fiscal spending is an important factor in economic growth [45]. Therefore, I also examine the differences in varying scenarios of fiscal expenditure levels. The level of fiscal expenditure is measured by the ratio of fiscal expenditure to GDP. Regions were classified into high fiscal expenditure and low fiscal expenditure based on a threshold of 0.253 (Table 2) for the moderation tests. Compared with regions with low-level fiscal expenditure, the results reported in Table 8 indicate that an increase in the proportion of fiscal expenditure to GDP weakens the

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The impact of higher education on high quality economic development in China: A digital perspective impact of higher education on the high-quality development of the economy. This could be due to the excessive reliance on fiscal subsidies, which may diminish the autonomy and independence of higher education, undermine its ability to adapt to market demand, and affect its capacity to serve and innovate for the economy. This could result in a reduction of market orientation and competitive mechanisms, as well as give rise to issues of resource allocation efficiency.

Heterogeneity analysis based on digital governance.
Digital governance enables the integration of policies and public services through e-government, fostering sustainable and inclusive economic growth and social development [46]. The Digital Government Development Index, as defined in the "2020 Digital Government Development Index Report" by the Center on Data Governance, Tsinghua University, serves as a measure of the level of digital governance. I categorize the eight provinces highlighted as "leading" and "high quality" in the report as regions with a high level of digital governance, while the remaining provinces are classified as low digital governance regions. The results of moderation tests in Table 9 show that improved levels of digital governance enhance the impact of higher education on highquality economic development. Digital transformation enables higher education to utilize information technology more effectively, providing high-quality teaching resources and innovative platforms, and offering professional and intellectual support for digital government development. Simultaneously, digital administrative operations and data sharing enable governments to better meet market demands as well as promote effectiveness and fairness in resource allocation. This mutually reinforcing relationship contributes to driving high-quality economic development.

Conclusion and discussion
This article examines the impact of Chinese higher education on HQED and its mechanisms from a digital perspective, using panel data from 30 Chinese provinces from 2012 to 2020. The main conclusions are as follows.
First, the results of the benchmark regression show that the advancement of China's higher education can significantly contribute to HQED, which is confirmed in the robustness tests. The regression results verify theoretical hypothesis 1, and is consistent with

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The impact of higher education on high quality economic development in China: A digital perspective previous studies [9,34,47]. New economic theory identifies investment in education and human capital as determinants of economic growth. Studies based on Keynesian economic principles and human capital theory have found that the expansion of higher education in China has brought economic growth effects and human capital development benefits [48]. Further, the optimization and improvement of the higher education personnel training structure has enhanced the workforce's skills and become an important driver for the development of China's emerging industries, contributing to the transformation and upgrading of the economy. Second, the mechanism test proves that higher education contributes to a high-quality economy at a national level through the promotion of digital development, and that the role of higher education is not only reflected in the expansion of scale and quantity, but also because of structural and quality improvements. This also validates theoretical hypotheses 2 and 3 of this study. I speculated that more higher education institutions, more students in general universities, and more educators might all contribute to a more advanced digital economy. China officially entered the stage of massification and generalization of higher education with a gross enrolment rate of over 15% in 2012 and 50% in 2019, respectively [49]. The expansion of student enrolment, the increase in the number of schools, and the increased variety of educational disciplines over time have laid the foundation for the long-term sustainable development of higher education [50] and have, in turn, provided the necessary foundations for digital development. These regions give full play to the advantages of universities in the field of digital transformation, science and technology, and have opened digital economy-related majors, such as Internet of Things, virtual reality, and other emerging technologies, forming a disciplinary layout that strongly adapts to the digital development [51]. Universities provide strong intellectual support for the rapid and sustainable development of regional digitalization, and can better meet the needs of the digital industry development. They also serve as important bases for academic research and are able to achieve digital technology innovation directly through key technological research [52,53]. In addition, the "structure and quality" of higher education plays a greater role with regard to digital development than the "scale and quantity." Therefore, measures such as the training of high-level talents and the increase of R&D related investments are necessary.
Third, the contribution of higher education to quality economic development varies in different regions of China. The regional heterogeneity exhibited that higher education levels have a more positive influence on HQED in the east of China than in the west, which is consistent with existing research findings [54,55]. Since education resources are more abundant in the east [56], and technological achievements are also generated more quickly because this region is at the forefront technological development-all of which makes it easier to upgrade the level of higher education in this region; especially in the eastern region, as exemplified by cities such as Beijing, Shanghai and Guangdong, where the ease of promoting the development of digital industries has directly contributed to the high quality of economic development present in these areas. This phenomenon may also be related to the fact that higher education talents from the western region are seen as preferable to the economically developed coastal regions, or to the civil service and institutions, which is primarily because people in less economically developed areas are culturally more inclined to pursue more stable jobs. Therefore, policies should be tailored according to the individual regions that they are intended to support. For example, to achieve the same effect in the Western and Eastern Regions would require a greater level of investment in higher education in the West. In addition, the test for temporal heterogeneity did not yield significant results. Perhaps because digital-related policies require a longer time to manifest the effects, or because of the dual negative impact of the COVID-19 pandemic on education [57] and the economy.
Taking it a step further, based on an analysis of fiscal expenditure level and digital governance, I found that an increase in the proportion of fiscal expenditure to GDP weakens the impact of higher education on HQED. This may reduce market orientation and competition mechanisms, ultimately affecting resource allocation efficiency. Therefore, policymakers must carefully consider structural adjustments to fiscal expenditure, which will help promote greater autonomy and innovation within higher education institutions, further supporting HQED. In contrast, an improvement in digital governance enhances the impact of higher education on HQED. Digital governance enables better digital administrative operations and data sharing, allowing governments to better meet market demands and promote effectiveness and fairness in resource allocation. Policymakers and stakeholders should prioritize investments in digital infrastructure and administrative capabilities to support the integration of higher education with digital government initiatives.
These findings verify the positive impact of higher education on HQED, which enriches the existing research on the relationship between higher education and economic development. Moreover, the introduction of digital development factor lends a new perspective to the study. Using China's new development concept to construct an evaluation index system is suitable for the characteristics of the economic development stage and expands the ideas for regional economic assessment.
These conclusions have important practical implication for Chinese provinces to implement the coordinated development of higher education and the economy as a whole with the further advancement of digital development. It is conducive for local governments to understand the status of the relationship between higher education and economic development at the current stage, providing planning guidance and differentiated policy formulation according to the reality of the two systems. It is beneficial to leverage digital development to transform the advantages of higher education into a support guarantee for HQED through the cultivation of digital talents, increasing investment in educational innovation and effective expansion of the scale of education, and promoting a positive interaction pattern between higher education and HQED.

Limitations and future work
This study demonstrates a strong relationship between higher education and HQED, which has been verified through a number of robustness checks. From the perspective of digital development, the findings provide useful insights and can be considered enlightening. This study provides some foundation evidence for future studies. However, limitations remain. First, this study did not cover a longer period due to limitations in the data available on digital evaluation. In the future, it is possible to examine over a longer period of time whether higher education and digital related policies have a superimposed and multiplier effect on the digital development and thus influence high quality economy, which will be an indirect examination of digital development as a mechanism from a policy angle. Second, the sample size of the provincial studies was small, so future studies should be conducted using a greater amount of municipal level data to draw general conclusions from. Moreover, it can also serve as an empirical reference for countries whose economies are transitioning from rapid growth.